Operator Space Tensor Norms
This book provides a comprehensive introduction to the systematic theory of tensor products and tensor norms within the framework of operator spaces. The use of tensor products has significantly advanced functional analysis and other areas of mathematics and physics, and the field of operator spaces...
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| Aineistotyyppi: | Elektroninen E-kirja |
| Kieli: | englanti |
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Springer Nature Switzerland : Imprint: Springer,
2025.
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| Painos: | 1st ed. 2025. |
| Sarja: | Lecture Notes in Mathematics,
2379 |
| Aiheet: | |
| Linkit: | https://doi.org/10.1007/978-3-031-96209-7 |
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| 100 | 1 | |a Chávez-Domínguez, Javier Alejandro. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Operator Space Tensor Norms |h [electronic resource] / |c by Javier Alejandro Chávez-Domínguez, Verónica Dimant, Daniel Galicer. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XV, 189 p. 55 illus.). | ||
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| 341 | 0 | |b Single logical reading order |2 onix | |
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| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2379 | |
| 505 | 0 | |a Chapter 1. Preliminaries -- Chapter 2. Introduction to operator space tensor norms -- Chapter 3. Finite and cofinite hulls -- Chapter 4. The five basic lemmas -- Chapter 5. Dual operator space tensor norms -- Chapter 6. The completely bounded approximation property -- Chapter 7. Mapping ideals -- Chapter 8. Maximal operator space mapping ideals -- Chapter 9. Minimal operator space mapping ideals -- Chapter 10. Completely projective/injective tensor norms -- Chapter 11. Injective/projective hulls and accessibility -- Chapter 12. Natural operator space tensor norms -- Chapter 13. Conclusions and some open questions. | |
| 520 | |a This book provides a comprehensive introduction to the systematic theory of tensor products and tensor norms within the framework of operator spaces. The use of tensor products has significantly advanced functional analysis and other areas of mathematics and physics, and the field of operator spaces is no exception. Building on the theory of tensor products in Banach spaces, this work adapts the definitions and results to the operator space context. This approach goes beyond a mere translation of existing results. It introduces new insights, techniques, and hypotheses to address the many challenges of the non-commutative setting, revealing several notable differences to the classical theory. This text is expected to be a valuable resource for researchers and advanced students in functional analysis, operator theory, and related fields, offering new perspectives for both the mathematics and physics communities. By presenting several open problems, it also serves as a potential source for further research, particularly for those working in operator spaces or operator algebras. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility. It includes screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, keyboard-friendly links and forms, and searchable, selectable text. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility Please Note that a more accessible version of this eBook is available as an EPUB. | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 1 | 4 | |a Operator Theory. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 700 | 1 | |a Dimant, Verónica. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Galicer, Daniel. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2379 | |
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| 950 | |a Focus Bundle Mathematics and Statistics (SpringerNature-85421) | ||